AP STAT PROJECT #1 MAY 16, 2011 – BLOCK 1 JOHN GRAZIANO & LYDIA KEENER How many U.S. Presidents can YOU name in a minute?

Introduction Record:  Gender  Last Social Studies class  Grade in last Social Studies class One minute to name as many U. S. presidents, verified by complete list Purpose: To see whether or not Social Studies class taken, gender, and grade in SS class correlate with number of presidents named We want to see how many presidents YOU truly know! Who is this man? (HINT: He’s a president!)

Graph Shape: Right Skewed Center: Median (11) Spread: Range – 18 IQR – 3.5

Normal Model? Normal Probability Plot is linear, therefore the data is normal.

Quantitative Data by Gender Male Shape: Slightly Right Skewed Center: Median (10.5) Spread: Range – 18 IQR – 2.5 Female Shape: Approx. Normal w/ 3 Outliers Center: Median (11.5) Spread: Range – 11 IQR – 4.5

Quantitative Data by Partner Lydia Shape: Approx. Normal w/ 2 Outliers Center: Median (12) Spread: Range – 18 IQR – 4 McNelis Shape: Abnormal and Right Skewed Center: Median (10.5) Spread: Range – 9 IQR – 2.5

Quantitative Data by Partner cont. PLEASE NOTE: McNelis’s boxplot looks abnormal due to the fact that she collected far less data than Lydia.

Quantitative by Social Studies Grade

Quantitative by Social Studies Grade cont. Grade A Shape: Slightly Right Skewed w/ 1 Outlier Center: Median (11) Spread: Range – 10 IQR – 3 Grade B Shape: Very Right Skewed Center: Median (11.5) Spread: Range – 18 IQR – 7.5 Grade C No shape, center, or spread One Value Abnormal Data Who is this man? (HINT: He’s also a president)

Two-Way Table

Marginal Distribution for Gender Males: 62.2% Females: 37.5%

Marginal Distribution for SS Grade A: % B: 50% C: 3.125%

Conditional Distribution Of the Females: -60% got A’s -40% got B’s -0% got C’s Of the Males: -25% got A’s -67% got B’s -8% got C’s

Gender vs. # of Presidents

Chi-Squared Test for Independence - Gender Even though our sample suggested Gender and Number of Presidents to be dependent, our Chi-Squared Test for independence of population determined that the difference was not substantial enough to deem it dependent.

SS Grade vs. # of Presidents

Chi-Squared Test for Independence – SS Grade

Chi-Squared Test for Independence – SS Grade Cont. Both the bar graph and the Chi-Squared test for independence for SS grade/ # of Presidents show that the two variable are independent of each other.

Error and Bias Sources of error:  Commotion of room not allowing people ultimate concentration ability  Individuals over-hearing presidents from previous rounds  Both partners had a list of presidents during every trial except their own  Time to think about presidents before their turn Who is this man? (HINT: He’s probably going to be president)

Conclusion From our data, we can conclude that the data is normal. We can also conclude that because of the small sample size, the variable of gender and # of presidents are independent, even though they appear dependent in our data. The variables of SS grade and # of presidents, however, were determined to be independent of each other. The median of # of presidents named in our data was 11 presidents and 50% of subjects know at least presidents. Who is this beautiful lady? (HINT: She’s probably not going to be president)